Title
Time-varying output formation tracking of heterogeneous linear multi-agent systems with multiple leaders and switching topologies.
Abstract
This paper studies the time-varying output formation tracking problems for heterogeneous linear multi-agent systems with multiple leaders in the presence of switching directed topologies, where the agents can have different system dynamics and state dimensions. The outputs of followers are required to accomplish a given time-varying formation configuration and track the convex combination of leaders’ outputs simultaneously. Firstly, using the neighboring relative information, a distributed observer is constructed for each follower to estimate the convex combination of multiple leaders’ states under the influences of switching directed topologies. The convergence of the observer is proved based on the piecewise Lyapunov theory and the threshold for the average dwell time of the switching topologies is derived. Then, an output formation tracking protocol based on the distributed observer and an algorithm to determine the control parameters of the protocol are presented. Considering the features of heterogeneous dynamics, the time-varying formation tracking feasible constraints are provided, and a compensation input is applied to expand the feasible formation set. Sufficient conditions for the heterogeneous multi-agent systems with multiple leaders and switching directed topologies to achieve the desired time-varying output formation tracking under the designed protocol are proposed. Finally, simulation examples are given to validate the theoretical results.
Year
DOI
Venue
2019
10.1016/j.jfranklin.2018.11.006
Journal of the Franklin Institute
Field
DocType
Volume
Convergence (routing),Dwell time,Lyapunov function,Control theory,Convex combination,Network topology,System dynamics,Observer (quantum physics),Piecewise,Mathematics
Journal
356
Issue
ISSN
Citations 
1
0016-0032
3
PageRank 
References 
Authors
0.38
26
5
Name
Order
Citations
PageRank
Yongzhao Hua1333.80
Xiwang Dong257335.47
Junbo Wang330.38
Qingdong Li410212.25
Zhang Ren515322.79